Phyc 0 Spng 006 Roonl Dync The Soluon. An objec o e nd oe couneclockwe wh conn ngul cceleon nd eche n ngul peed o / n. Wh he ngul cceleon o he wheel? Wh he ngle (n n hough whch he objec oe n h e? α α θ θ α 4 4 ( 8. A wheel.0 n dee le n ecl plne nd oe wh conn ngul cceleon o 4 /. The wheel e 0 nd he u eco o pon P on he ke n ngle o 57. o wh he hozonl h e. A.0, nd he ngul peed o he wheel. he lne peed nd ol cceleon o he pon P. he ngul poon o he pon P. α 8 α ( 4 ( ( 4 R ol θ θ α 8 4 ( 8 8 ngenlly 64 @ φ n 4 64. ( 9 @.58 o. Fou pon pcle o ou e e hown on he gh. Thee e e conneced by le od nd he ye pun bou he ogn (loced he cene o he ecngle 6 / n he x-y plne. Wh he oen o ne o he ye bou he z-x (pependcul o he x-y plne? Wh he oonl knec enegy o he ye? 4 Wh he gnude o he ngul oenu o he ye bou he z-x? kg kg y kg 4kg x 6
ol ol o L x, ( ( ( ( kg kg kg 4kg 4 ( ( 4kg 6 ( 4kg ( 6 858 y nce ll e e equdn o he ogn. kg 4kg 574J 4. A odel plne hng o 0.750kg eheed by we o h le n ccle o u 0. The plne engne pode ne hu o 0.80 N pependcul o he eheng we. Wh he oque h he ne hu poduce bou he cene o he ccle? Wh he ngul cceleon o he plne when n leel lgh? Fnd he lne cceleon o he plne ngen o lgh ph. τ F Thu nθ 0 0.8N 4N τ 4N τ α α 675kg whee plne α 0 0.06.07 0.06 0.75kg ( 0 675kg 5. The ppu hown below ued o expeenlly deene he oen o ne o egully hped objec. We he upended by cod wound ound pool o u, ong p o unble uppong he objec. When he eleed o e, decend hough dnce h, cqung peed. Wh he oen o ne o he equpen nd he unble? gh hngng gh hngng gh hngngh Noe he quny n bcke denonle h he expeenl ehod o deenng he conn h ppe n he expeon o he oen o nel o h egully hped objec. h
6. A enn hollow phee wh hn wll. e ollng whou lppng 4.0/ on he hozonl econ o ck hown below. oll ound he nde o ecl ccul loop 90c n dee nd nlly lee he ck pon 0c below he hozonl econ. Wh he peed he op o he loop? Wh he cenpel cceleon o he? Doe he en n conc wh he ck? Expln you nwe bed on you eul o p d. Suppoe h c con beween he nd ck w neglgble o h he ld he hn olled. Would peed be hghe, lowe o he e he op o he loop? Suppo you nwe wh clculon! d. gh g.9 g [ ] 9.8 [ 0.0.0 ] h h ( 4.0 (.9 c.57 R 0.45 Snce he gee hn g, wh he ck puhng down on he. doe no oll. he u be n conc wh he ck, [ h h ] 9.8 [ 0.0.0] ( 4.0 0 c gh.40 whch non - phycl. Theeoe he doen' een ke ound he loop. 7. A cylnde o oen o ne oe bou ecl conle xle wh ngul elocy. A econd cylnde h h oen o ne nd nlly no ong dopped ono he cylnde. Snce con ex beween he wo uce o he cylnde, hey eenully ech he e nl ngul peed,. Wh he expeon o he gnude o? Show h he knec enegy o he ye decee n h necon nd clcule he o o he nl oonl enegy o he nl oonl enegy.
Why doe he knec enegy o he ye decee? ( o ; ( ( ( ung o boe. Snce no coneed due o con bngng he wo e o he e nl oonl peed, he nl le hn he nl. ; 8. A uden on eely ong ool holdng wo wegh, ech o whch h o.0kg. When he uden e ully exended hozonlly, he wegh e.0 o he x o oon nd he ye oe wh n ngul peed o 0.75 /. The oen o ne o he uden nd he ool.0 kg nd ued o be conn. The uden pull he wegh nwd hozonlly o poon 0.0 o he oon x. Wh he new ngul peed? Wh e he nl nd nl knec enege o he uden? you nwe o p b e no he e nube, wh hppened n he ye n ode o hee o be n ncee o decee n he ngul elocy? ;.5J ool new, wegh 6.46J ool n he oonl o ool wegh wegh kg kg he ye. ( kg ( kg ( 0. ( 0.75 The nwe e no he e nce ke wok o bng he e n cloe o he body nd h wok ne el n ncee ; ool new, wegh.9 9. The pupkn on he No eed! Suppoe h he No Meol opped wh n ppoxely hephecl doe o u R. Soehow n nddul h blnced phecl pupkn he op o he doe n ngle o θ 0 o wh he ecl. Suppoe h gu o wnd he pupkn ollng o e. loe conc wh he doe when he lne o he cene o he hephecl doe o he pupkn ke cen ngle wh epec o he ecl. A wh ngle doe h hppen? Cope you eul wh hoe o poble # n he wok nd enegy pcke.
gh N Rg coθ gh ( R whee h R, gr coθ gr gr coθ 5 gr coθ R whee F 0 when pupkn lee he oo. h R coθ, Th ge o ( 5 coθ θ co 54.7 When we nclude ollng oon o he pupkn, he pupkn lde he beoe leng he uce. 5 R